MATH 1501 Quiz: MATH 1501 GT Quiz11 Practice Solution

• School: Georgia Tech
• Department: Mathematics
• Course: MATH 1501
• Professor: All

Document Summary

Show all work for full credit: compute z e . 1 sin(ln(x)) dx. (hint: do a u-substitution rst) We set up a u-substitution box w = ln x dw = 1/x dx from which it follows that ew = x and so we have (i"m using w so i can use u later) Computing the rst two terms of the last line above yield so 2a = epi + 1, and hence. A = 0 ( e 1) a, 2: which function goes to zero faster, f (x) = e x or g(x) = 1 x . (hint: consider the asymptotic growth of the reciprocal of these functions) Solution: than 1/g, which means that f (x) = e x goes to zero faster than g(x) = 1 x.